Answer
a) An Alternating Series is a series where terms are alternately positive and negative.
b) The Alternating Series will converge if these conditions are satisfied: $\lim\limits_{a \to \infty}$$a_{n}$ = 0 and $a_{n+1}$ $\leq a_{n}$.
c) Remainder after n terms, we say $|R_{n}| \leq b_{n+1}$
Work Step by Step
a) This is by definition.
b) By theory we must make sure that the conditions are satisfied
c) By theory of the Remainder theorem of Alternating Series.
